My son was the same way at that age, and I was worried about the same thing. I definitely second daycare being a big help. It took a few days for him to adjust to the noises, but they swaddled him and got him into a routine. Please don't be concerned about her not napping for them - they're pros at getting babies to sleep!
Do whatever you need to now to have her nap at home, enjoy your time with her at home and don't worry about giving daycare a baby with a perfect nap schedule - things will work out, I promise!
Also, just a heads up ... things change later, too! My son is now 4 1/2 months and had a great nap routine for a while and changing to be a cat napper now with a longer sleep period at night. So, their sleep patterns are always evolving. Good luck!